Finite Group Databasebeta

← Group #263141

Character table — Group #263141

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444888888888888816161616161616161616161616161616161616161616
order12222244444444488888824444444888882444444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ5111111111111111111111-1-1-1-11111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ7111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1
χ8111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-11111-1-111-1-1-1-11111
χ9111111111111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1111-1-1-1-11111-1-111-1-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-111
χ11111111111111111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1111-1-1-1-1-1-1-1-111-1-111
χ12111111111111111-1-1-1-1-1-11111-1-1-1-1-11111-11111-1-1-111-1-1-1-111-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11-1-11111-1-1-1-11111-1-1
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-111-1-111-1-1-1-111
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-111111111-1-1-1-111
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-11111-1-11111-1-1
χ17222222-2222-22-2-2-222-2-2-2-22-2-220000200000000000000-220000000000
χ18222222-2222-22-2-2-222-2-2-2-2-222-200002000000000000002-20000000000
χ19222222-2222-22-2-2-2-2-222222-2-220000-2000000000000002-20000000000
χ20222222-2222-22-2-2-2-2-22222-222-20000-200000000000000-220000000000
χ212222-2-2222-22-2-2-2200000022-2-20000022-2-202-20000000000000000000
χ222222-2-2222-22-2-2-2200000022-2-200000-2-2220-220000000000000000000
χ232222-2-2222-22-2-2-22000000-2-2220000022-2-20-220000000000000000000
χ242222-2-2222-22-2-2-22000000-2-22200000-2-22202-20000000000000000000
χ252222-2-22-2-22222-2-22222-2-200000000-200002002-2-20000000000000000
χ262222-2-22-2-22222-2-22222-2-200000000-20000-200-2220000000000000000
χ272222-2-22-2-22222-2-2-2-2-2-2220000000020000200-22-20000000000000000
χ282222-2-22-2-22222-2-2-2-2-2-2220000000020000-2002-220000000000000000
χ292222-2-2-222-2-2-222-20000002-22-22i2i−2i−2i000000000000000002i−2i00000000
χ302222-2-2-222-2-2-222-20000002-22-2−2i−2i2i2i00000000000000000−2i2i00000000
χ312222-2-2-222-2-2-222-2000000-22-222i2i−2i−2i00000000000000000−2i2i00000000
χ322222-2-2-222-2-2-222-2000000-22-22−2i−2i2i2i000000000000000002i−2i00000000
χ332222-2-2-2-2-22-22-22222-2-22200000000-200000000002-22-2000000000000
χ342222-2-2-2-2-22-22-22222-2-22200000000-20000000000-22-22000000000000
χ352222-2-2-2-2-22-22-222-2-222-2-200000000200000000002-2-22000000000000
χ362222-2-2-2-2-22-22-222-2-222-2-20000000020000000000-222-2000000000000
χ374444444-4-4-44-4-44-400000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000000
χ3944-4-4004000-4000022−2222−220000002-22-200022−220000000000000000000000
χ4044-4-4004000-4000022−2222−22000000-22-22000−22220000000000000000000000
χ4144-4-4004000-40000−2222−22220000002-22-2000−22220000000000000000000000
χ4244-4-4004000-40000−2222−2222000000-22-2200022−220000000000000000000000
χ4344-4-400-40004000022−22−22220000002i−2i−2i2i02i2−2i2000000000000000000000000
χ4444-4-400-40004000022−22−2222000000−2i2i2i−2i0−2i22i2000000000000000000000000
χ4544-4-400-400040000−222222−220000002i−2i−2i2i0−2i22i2000000000000000000000000
χ4644-4-400-400040000−222222−22000000−2i2i2i−2i02i2−2i2000000000000000000000000
χ474-4-444-404-4-404000000000000000000000000000000000000002i2−2i20000
χ484-4-444-404-4-40400000000000000000000000000000000000000−2i22i20000
χ494-4-444-40-4440-400000000000000000000000000000000000000002i2−2i200
χ504-4-444-40-4440-40000000000000000000000000000000000000000−2i22i200
χ514-4-44-4404-440-40000000000000000000000000000000000000000002i2−2i2
χ524-4-44-4404-440-4000000000000000000000000000000000000000000−2i22i2
χ534-4-44-440-44-40400000000000000000000000000000000000022−22000000
χ544-4-44-440-44-404000000000000000000000000000000000000−2222000000
χ558-88-800000000000000042−4200000000000000000000000000000000000
χ568-88-8000000000000000−424200000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).